Roll each disk of pate brisee into a 6-inch round on a lightly floured work surface. Line each of six 5-inch aluminum pie tins with 1 dough round and trim dough flush with edges of tins. Using a 1-inch cookie cutter, cut a 1-inch circle from center of each of remaining 6 dough rounds. (Discard circles, or bake for a snack.)
Core, peel, and cut apples into 1/2-inch-thick wedges; halve wedges crosswise. Toss apples with raspberries, flour, sugar, and lemon juice. Divide filling evenly among tins. Place 1 dough round over each pie, centering hole over filling. Gently press dough with fingers along edges of tins to seal, and trim dough flush with edges. Press edges to seal with a fork. Freeze until firm, about 20 minutes.
Preheat oven to 400 degrees. Brush pies with egg wash and sprinkle generously with sugar. Transfer to a rimmed baking sheet. Bake until golden brown and juices are bubbling through vents, 50 to 55 minutes. (If outside edges brown too quickly, cover them with a tent of foil.) Let cool completely on a wire rack before serving.
Pies can be made 1 day ahead and stored, uncovered, at room temperature.